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Proof step 28 from proof initsubset-put-statfield-01 (previous step)

mkfs(class, ty, fieldvar) ' ≠ sk ∧ ( ¬ is_fskey(mkfs(class, ty, fieldvar) ') ∨ mkfs(class, ty, fieldvar) ' .fs .type ≠ void_type ∨ mkfs(class, ty, fieldvar) ' .fs ≠ mkfs(`java.lang.Object' .class, void_type, `uninit' .field) ∧ (¬ is_fskey(sk) ∨ mkfs(class, ty, fieldvar) ' .fs ≠ mkfs(sk .fs .class, void_type, `initstate' .field))), validstatfield(str, sk, st), sk ∈ statfields(class3), tdname∃(str, class3), initdone(class3, st0), initdone(class3, st), class ≠ class3 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class2 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class1 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class0 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ `java.lang.Object' .class ∨ ty ≠ void_type ∨ fieldvar ≠ `uninit' .field, initdone(class0, st) → initdone(class0, st0), initerror(class1, st) → initerror(class1, st0), ∀ class. ¬ initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) → validstatfields(str, statfields(class), st0), ∀ class, sk. initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0), ¬ mkfs(class, ty, fieldvar) ' ∈ statfields(class) ∨ ¬ tdname∃(str, class), ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field) ⊦ validstatfield(str, sk, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
validstatfield(str, sk, st), sk ∈ statfields(class3), tdname∃(str, class3), initdone(class3, st0), initdone(class3, st), is_fskey(sk), class ≠ class3 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class2 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class1 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ class0 ∨ ty ≠ void_type ∨ fieldvar ≠ `initstate' .field, class ≠ `java.lang.Object' .class ∨ ty ≠ void_type ∨ fieldvar ≠ `uninit' .field, initdone(class0, st) → initdone(class0, st0), initerror(class1, st) → initerror(class1, st0), ∀ class. ¬ initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) → validstatfields(str, statfields(class), st0), ∀ class, sk. initdone(class, st) ∧ initdone(class, st0) ∧ tdname∃(str, class) ∧ sk ∈ statfields(class) ∧ validstatfield(str, sk, st) → validstatfield(str, sk, st0), ¬ mkfs(class, ty, fieldvar) ' ∈ statfields(class) ∨ ¬ tdname∃(str, class), ty ≠ void_type ∨ fieldvar ≠ `initstate' .field ∧ (class ≠ `java.lang.Object' .class ∨ fieldvar ≠ `uninit' .field), fieldvar ≠ `initstate' .field ∨ class ≠ sk .fs .class ∨ ty ≠ void_type ⊦ mkfs(class, ty, fieldvar) ' = sk, validstatfield(str, sk, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_indexkey(sk) ↔ is_fskey(sk)], [CSIMPSEQ : ⊦ is_indexkey(sk) → ¬ sk ∈ statfields(class)], [CSIMPSEQ : ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)], [CSIMPSEQ : ⊦ mkfs(class1, ty, fieldvar) = mkfs(class2, ty0, fieldvar0) ↔ ¬ ¬ ( class1 = class2 ∧ ty = ty0 ∧ fieldvar = fieldvar0)], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ fs ' .fs = fs], [CSIMPSEQ : ⊦ is_fskey(fs ')])]]